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A straight line L at a distance of 4 uni...

A straight line `L` at a distance of `4` units from the origin makes positive intercepts on the coordinate axes and the perpendicular from the origin to this line makes an angle of `60^(@)` with the line `x+y=0`. Then, an equation of the line `L` is

A

`(sqrt(3)-1)x+(sqrt(3)+1)y=8sqrt(2)`

B

`x+sqrt(3)y=8`

C

`sqrt(3)x+y=8`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A

`x cos 15^(@)+ y sin 15^(@)=4`
`x cos 75^(@)+y sin 75^(@)=4`
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